Atkin-Lehner |
2- 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520bs |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-33254868750000 = -1 · 24 · 3 · 58 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,955,276900] |
[a1,a2,a3,a4,a6] |
j |
6013938827264/2078429296875 |
j-invariant |
L |
2.0355719016815 |
L(r)(E,1)/r! |
Ω |
0.50889298275506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380m1 |
Quadratic twists by: -4 |